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Finding the Fourth Proportional to 290.06, 400.46 and 179.63

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Solution

The fourth proportional to 290.06, 400.46 and 179.63 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.06 : 400.46 = 179.63 : x
  2. Step 2: Convert to fraction form
    290.06/400.46 = 179.63/x
  3. Step 3: Cross multiply
    290.06x = 400.46 × 179.63
  4. Step 4: Simplify right side
    290.06x = 71,931.73
  5. Step 5: Solve for x
    x = 71,931.73/290.06
  6. Step 6: Final answer
    x = 247.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.